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Algebraic Fractions Addition & Subtraction: Revision and Operations

Learn how to simplify and perform addition/subtraction of algebraic fractions with clear examples and explanations. Find common denominators, factorize, and multiply fractions to achieve correct results.

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Algebraic Fractions Addition & Subtraction: Revision and Operations

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  1. Revision - Algebraic Fractions Addition & Subtraction Numerical and Algebraic Fraction Operations. By I Porter

  2. Numerical Operation Revision This gives the L.C.M as 2 x 3 x 2 = 12 Hence, multiply each fraction by So that the denominators are the same. Addition Subtraction Find a common denominator. 3 x 5 = 15 easiest. a) b) Find a common denominator. 6 x 4 = 24 easiest. But if we factorise the two denominators, 6 = 2 x 3 and 4 = 2 x 2, they have a common factor 2. Same denominator, add the numerators. Reduce the fraction. Same denominator, subtract the numerators. Card

  3. The L.C.M. is 2 x 3 x 2 x b x c = 12bc. Hence, multiply the first fraction by the second fraction by Simple Algebraic Fractions Simplify the following a) Find L.C.M. of denominators. Factorise the two denominators, 6b = 2 x 3 x b and 4c = 2 x 2 x c, they have a common factor 2. So that the denominator are equal. Add the numerators. Card

  4. The L.C.M. is 6ac. Hence, multiply the • first fraction by • second fraction by Simplify the following Find L.C.M. of denominators. b) Factorise the two denominators, they have a common factor 3c. So that the denominator are equal. Subtract the numerators. Card

  5. Convert to same denominator. Multiply the second fraction by • Simplification of Addition and Subtraction of Algebraic Fractions. • Factorise the numerator and denominator FIRST • Find the common denominator L.C.M. • Convert each fraction to the same denominator by a suitable multiplier. Examples: Simplify Factorise top and bottom. a) LCM = (x+2)(x-2) Leave denominator & numerator in factoise form. Card

  6. Convert to same denominator. • multiply the first fraction by • multiply the second fraction by Examples: Simplify b) Factorise top and bottom. LCM = x(x+2)(x-2) Leave denominator & numerator in factoise form. Card

  7. Multiply first fraction by and second fraction by Your Example: Simplify the following [Click the mouse button for hints] Factorise denominators as (x-2)(x-3) and (x-2)(x+4) The LCM is (x-2)(x-3)(x+4). Rearrange, some student would write down the next line of working. Write as a single denominator, expand the numerator(s) Clean up the numerator. Card

  8. Exercise: Simplify the following Card

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